L-1/T-lIIPE . Date : 05/0112013BANGLADESH UNIVERSITY OF ENGINEERING AND TECHNOLOGY, DHAKA

V.1/T-l B. Sc. Engineering Examinations 2011-2012

Sub: HUM 211 (Sociology)Full Marks: 140 Time: 3 Hours

USE SEPARATE SCRIPTS FOR EACH SECTION

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SECTION -AThere are FOUR questions in this section. Answer any THREE;

1. (a) Define sociology. Explain the significant roles of, sociological imagination for

understanding human society.(b) Make a comparison between functionalism and conflict perspective of sociology.

2. (a) 'Language manifests cultural traits of a society'. Discuss.(b) Define social values. Do you think that social valqes can defer the progress of

technology? Substantiate your answer with arguments.

3. (a) What do you understand by social stratification? Discuss the caste system of social

stratification.(b) 'The history of all hitherto existing societies is the history of class struggle' -

explain this statement on the basis of Karl Marx's theory of social stratification.

4. Write short notes on any three of the following:

(a) Sociobiology(b) Anomie theory(c) White collar crime(d) Theory of socialization.

SECTION -BThere are FOUR questions in this Section. Answer any THREE.

5. (a) What do you know about industrial revolution?

(b) Write down the important characteristics of capitalism.(c) Describe the social consequences of industrial revolution.

6. (a) What do you mean by environment and pollution?(b) Describe the stage of demographic transition theory.

ec) Critically discuss the evolution of cities.

7. (a) What do you understand by social change? Discuss the characteristics of social

change.

(b) Briefly describe the sources of social change.

8. Write short notes on any three of the following:- (a) Potential consequences of global warming

(b) The factors responsible for population growth(c) The major effects of rural to urban migration(d) Globalization and modem life.

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(10)

(13,Yj )

(10)

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(4)(10)

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(13,Yj )(10)

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(27)

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L-1/T-1/1PE Date: 29/12/2012

BANGLADESH UNIVERSITY OF ENGINEERING AND TECHNOLOGY, DHAKAL-l/T -1 B. Sc. Engineering Examinations 2011-2012

Sub: IPE 105 (Principles of Cost and Management Accounting) ,

Full Marks: 210 Time: 3 Hours.

The figures in the margin indicate full marks.USE SEPARA TESCRlPTS FOR EACH SECTION

SECTION-AThere are FOUR questions in this section. Answer any THREE.

1. (a) Job order costing and Process costing are two different ways to calculate product cost.

How can you distinguish these two? (8)

(b) Lindex Company manufactures baseball-style hats. Material is introduced at the ..

beginning of the process in the Cutting Department. Conversion costs are incurred (and

allocated) uniformly throughout the process. As the cutting of material is completed, the

pieces are iinmediately transferred to the Sewing Department. Data for the. Cutting

Department for the month of February 2012 follow:

Work in process, January 31 - 50,000 units

100% complete for direct materials, 40% completed for conversion costs

actual costs of direct materials, $70,500; actual costs of conversion, $34,050

Units started during February

Units co~pleted during February,

Work in process, February 28 -

225,000

200,000

75,000 units

100% complete for direct materials, 20% completed for conversion costs

Direct materials added during February [actual costs] $342,000

Conversion costs added during February [actual costs] $352,950

Required:

i. Prepare a quantity schedule and a computation of equivalent units for February for

the cutting department, assuming that the company uses the FIFO method of"

accounting for 1.J;iIlts.

ii. Prepare cost reconciliation.

2. (a) What do you understand by "operating leverage"?

(b) Silicon optics has supplied the following data for using in its activity based costing

system:

(5)

(30)Overhead Costs

Wages and Salaries

Other overhead costs

Total overhead costs

$350,000

$200,000

$550,000

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~2=IPE 105~olltd .•• Q. No. 4(a)

-~-....Activity cost pool Activity measure Total activity

Volume Number of direct labor-hours 10,000 DLHS

Order processing Number of orders 500 orders

Customer support Number of customers 100 customers

Other The cost are not allocated to N/A.products or customers

During this year, Silicon optics completed an order for a special optical switch for a new

customer, Indus Telecom. This customer did not order any other products during the year.

Data for that order follow:Data concerning the Indus Telecom order

Selling priceUnits orderedDirect materialsDirect labor hoursDirect labor rate

$295 per unit100 units

$264 per unit0.5 DLH per unit

$25 perDLH

i. Prepare a report showing the first stage allocation of overhead costs to the activity costpools.ii. Compute the activity rates for the activity cost pools.

, iii. Prepare a report showing the overhead costs for the order from Indus Telecom. Do notinclude customer support costs at this point in the analysis.iv. Prepare a report showing the product margin for the order and the customer margin forIndus Telecom.

3. (a) Briefly explain the concept "cost behavior".

(b) How can you classify cost based on function?

(c) The art factory has provided the following financial information for year 2011.

(6)(6)

(23)

II

Raw materials inventory; January iWork in process inventory, January 1Finished goods inventory, January 1Direct labor incurredAccumulated depreciationIndirect materials purchasesDirect materials purchases.Jndirect materials usedSales commissions expenseFinished goods inventory, December 31.Raw materials inventory, December 31Rent expensc, sales officesRent expense, factoryIndirect labor expenseRent expense, corporate officeDepreciation' expense, factoryUtilities expense, factoryUtilities expense, corporate officeUtilities expense, sales officesPrepaid insurance.Work in process inventory, December 31

$40,00020,00070,000

110,00040,00015,00080,00010,000

100,00030,00010,00035,00050,00020,00050,000 .10,00010,00010,00010,00038,000.60,000 . Contd P13

(30)

=3=

JPE 105Contd ... Q. No. 4(a)

Prepare a schedule of cost of goods sold and cost of goods manufactured sections of the

~ompany's income statement for the year.

4. (a) How can you explain changing business environment intoday's competitive market? (5)

(b) High desert pottery works makes a variety of pottery products that it sells to retailers.

The company uses a job order costing system in which predetermined overhead rates are

used to apply manufacturing overhead costs to jobs. The pre-determined overhead rate in

the Molding department is based on machine hours, and the rate in the painting

department is based on direct labor cost. At the beginning of the year the company's

management made the following estimates:.. Department

MOlding Painting

Direct labour-hou(S .Machine-hours .Direct materials cost .Direct labour cost .Manufacturing overhead cost .

12,00070,000

$510,000$130,000$602,000

60,0008,000

$650,000 .$420,000$735,000

Job 205 was started on August land completed on August 10. The company's cost

records shows the rollowing information concerning the job:

Department

Molding Painting

Direct labour-hours .. . . . . . . . . . . 30 85Machine-hours 110 20Materials placed into production. . . . $470 $332Direct labour cost ... . . . . . . . . . . . . $290 $680

Required:

(i) Compute the predetermined overhead rate used during the year in the Molding

department. Compute the rate used in the painting department.

(ii) Compute the total overhead cost applied tojob 205.

(iii) What would be the total cost recorded for job 205? If the job contained 50 units,

what would be the unit product cost?

(iv) At the end of the year, the records of the company revealed the following actual

cost and operating data for all jobs worked on during the year:

Department

Molding Painting

Direct labour-hours .Machine-hours .Direct materials cost .Direct labour cost ~ '.' ..Manufacturing oVerhead cost .

10,00065,000

$430,000$108,000$570,000

62,0009,000

$680,000$436,000$750,000

What was the amount of under or over-applied overhead in each department at the end of

the year?

Contd , P/4

=4=

SECTION-BThere are FOUR questions in this Section. Answer any THREE.

Direct materials: 24 yards at 140BDT per yard 3360BDT

Direct labor: 3 hours at 120 BDT per hour 360BDT

During April, Shirt makers worked on three different orders for long sleeved shirts. Job

cost records for the month disclose the following:.. Units in Lot Material UsedLot

(dozens) (Yards) Hours Worked

30 1,000 24,100 2,98031 1,700 40,440 5,13032 1,200 28,825 2,890

The following additional information is available:

(i) Shirt makers purchased 95,000 yards of material during April at a cost of

13,965,000 BDT.

(ii) Direct labor cost incurred amounted to 1,353,000 BDT. During April.

(iii) There was no work in progress at April 1. During April, lots 30 and 31 were fully

completed. At April 30, lot 32 was 100% complete with respect to materials but only

80% complete with respect to labor.

Now,

1. Compute the materials price variance for April and show whether the variance was

favorable or unfavorable.

2. Determine the.materials quantity variance for April in both yards and dollars:

(a) For the company in total

(b) For each lot worked on during the month.

3. Compute the labor rate variance for April, and show whether the variance was

favorable or unfavorable.

4. Determine the labor efficiency variance for' April in both hours and dollars:

(a) For the company in total

(b) For each lot worked on during the month.

5. In what situations might it be better to express variances in units (hours, yards and

so on) rather than in dollars? In dollars rather than in units?

Contd PIS

(8)

(27)

=5=

]PE 1056. (a) Write short notes on semi variable cost.

(b) Modem Building Supply sells .various building materials to retail outlets. The

company has just approached Linden State. Bank requesting a $300,000 loan. to

strengthen the cash account and to pay certain pressing short term obligations. The

company's financial statement forthe most recent two years follow:...... _. --_ ..

Modern Building SupplyComparative Balance Sheet

(5)

(30)

AssetsCurrent assets:

Cash .Marketable securities .Accounts receivable, net. ; .Inventory .Prepaidexpenscs , , ..

Total current assets ; .Plant and equipment, net.. .Total Assets , , ..Liabilities & Stockholders' l<:quityLiabilities .

Current liabilities ; ~ .Bonds payable, 12% .

Total liabilities .Stockholders' equity

Preferred stock, $50 par, 8% .Common stock, $10 par. .Retained earnings .

Total s,tockholders' equity .Total liabilities and stockholders' equity .

This Year

90,000o

650,0001,300,000.20,000

2,060,0001,940,000

$4,000,000

1,100,000750,000

1,850,000

200,000500,000

1,450,0002,150,000$4,000,000

Last Year.

200,00050,000400,000800,00020,000

1,470,0001,830,000

$3,300,000

600,000750,000

1,350,000

200,000500,000

1,250,0001,950,000

$3,300,000 .

.Modern Uuilding Supply. Comparative Income'Statcmcnt

_ .... -- ...._,--_._- ----------This Year Last Year$7,000,000 $6,000,000_._.5,400,000 4,800,000~._.._ ....

1,600,000 1,200,000._---,-----

970,000 710,000..._~----_.

630,000 490,000._.. ,-'-90,000 90,000540,000 400,000

--216,000 160,000324,000 240,000

SalesCess..cost-o{goOds-soj~r----.--_.---._._._-_._.------- -_ •••••• _. ~._ •• _.,._. __ ••••• ~ •••• ~. __ .••• _ •• _ •• _ •• _._ .• _ •••• _ •• _ •• _ •• _ ••• "_ ••• _. _ •• _ _ •••••••• '''"' _.M ••• _ ._ •• M ••

-~~!~~~.~~~~~~----------._-,.,.._---'--_._".._.,..,_...,.,-----.._---_...Less operating expenses-- '--.'.",_._~._--,.-_.~._-------~_._ _ , _ _._ , ._ ",. _. __ __ _._ .

Nct ..ep~!at~ng incomeLess interest expense----- --------Net income before taxes

,--_. ----_ .._ .._---~.-Less income taxes (40%) .Net incOI:ne-----------------

Contd P/6

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=6= .

I}PE 105Contd ... Q. No. 6(b)

Now, find out the following ratios for both this year and last year

(i) The amount of working capital

(ii) The current ratio

(iii) The acid-test ratio

(iv) The average age of receivables (The account receivable at the beginning of last

year totaled $350,000)

(v) The inventory turnover in days. (The inventory at the beginning of last year

totaled $720,000)

(vi) The debt-to-equity ratio

(vii) Thenumber oftimes interest was earned

(viii) Gross margin percentage

(ix) Book value per share

(x) Return on total asset (Total assets at the beginning oflast year totaled $3,100,000)

7. (a) Matador Company manufactures and sells a single product. The following costs were

incurred during the company's first year of operations: (20)

Variable costs per unit (BDT)

Production:

Direct materials 18

Direct labor 7

Variable manufacturing overhead 2

Variable selling and administrative 5

Fixed costs per year

Fixed manufacturing overhead 160,000

Fixed selling and administrative expenses 110,000

During the year, the company produced 20,OOOunits and sold 16,000 units. The selling

price of the company's product is 50 BDT per unit.

Now,

i. Assume that the company uses absorption costing method

(a) Compute the unit product cost

(b) Prepare an income statement for the year

ii. Assume that the company uses variable costing method

(a) Compute the unit product cost

(b) Prepare an income statement for the year

Contd P17

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I' !PEI05rontd ... Q. No.7

(b) You have just been appointed as a director of recreation programs for Young Boys

Club, a rapidly growing sports club. In the past, the club has sponsored a; number of

football leagues in the water season. From the club's cost records, you have found the

following total costs associated with football leagues over last five years: (15)

Number of leagues52463

Total cost130,00070,000105,000140,000100,000

Now, you would like to scrutinize the amount of variable cost per league and total fixed

cost per year associated with the football program because this information will help you

. to plan accordingly.

i. Using the least square regression method, estimate the variable cost per league and the

total fixed cost per year for the football program. Also express the data into Y = a +bX

form.

ii. Suppose higher authority wants to expand the program up to 8 leagues in the coming

year. Compute the expected total cost of the football program for 8 leagues.

8. (a) Describe the limitations of activity based costing method. (5)(b) A 10% decrease in the selling price ofa product will have same impact on net income

asa 10% increase in the variable expenses. Do you agree? Why or why not? (8)(c) State the significance of break-even point. (7)(d) Ten Hall has recently opened Sheer Elegance, Inc., a store in fashionable stockings.

She has prepared the following analysis: (15)-"--_ .... _ ..... _._-, .

._" ..-..... _ ..•.._-_ ...- $2.00_._ ..•..... _-,. _._.- . 0.80

1.20.__ •......... _-- .._-_._ .._-.....•.. --....- ....•. --------~-f---- .

-_.,. __ ......_--- .._--.!J 2,0003,000

30,00015,000

$60,0007.----~

. J)!!I~~p~.i~~.P~!_Pil.Lt:..of~t.~~~~'!g_s.. _ _.Y.(l~i~~I.~.c;:2'E~~~l?~pair...~f.~!Q~~jl1.g~ .

. __<:::2!!t.r.j.~l!t~g.~I!1ar:gJ.n_p~r...Pa..!~..2.f.~<?~~iElg~..__._!::!~~~.£~P~~~~~£Eycar_. .... __._...._l.3_~i!.~1!.~!L~~ry_~~!.. .~_.__.__. ._ .. .__>._

~..9uipment depreciation. Selling

Administrative-_ ..._-T~~al.fixed expenses

i. How many pairs of stockings must be sold to break even? What does this represents in

total dollar sells?

ii. How many pairs of stockings must be sold to earn a $9,000 target profit for the first

year?

.iii. Ms. Hall has one full time and one part time sales person. It will cost her additional

$8000 per year to convert the part time position to full time position. She believes that the

change would bring an additional $20,000 in sales each year. Should she convert the

position?

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L~1/T,,:lIIPE Date: 15/12/2012BANGLADESH UNIVERSITY OF ENGINEERING AND TECHNOLOGY, DHAKA

L-1/T-1 B.Sc. Engineering Examinations 2011-2012

Sub: PHY 117 (Structure of Matter, Electricity and Magnetism and Modem Physics)

Full Marks: 210 Time: 3 HoursThe figures in the margin indicate full marks.

USE SEPARATE SCRIPTS FOR EACH SECTION

SECTION-AThere are FOUR questions in this Section. Answer any THREE.

1. (a) Briefly explain classification of solids from crystallographic point of view. (7)(b) Draw a schematic diagram of an X-ray diffractometer. Deduce Bragg's law. (10)(c) What are the Miller indices? Show that the Miller indices and interplanar distance are

related for a cubic crystal system by _1 == _1 (h2 +e + [2 ) (14). ' d2 a2

where the symbols have their usual meanings(d) The Kcl crystal is face centered cubic having a density of 1.98 g/cm3

• If its molecularweight is 74.6 g/moIe. Calculate the distance from one atom to the next atom of same

ti~ W

2. (a) What is lattice energy of an ionic crystal? (11)

(b) Show that lattice energy ofNaCI crystal is aeL 1---(1--),

4Jrt"oro n

where' the symbols have their usual meanings(c) Distinguish between intrinsic and extrinsic semiconductors. Write expres~ions for

conductivities for intrinsic semiconductor and various extrinsic semiconductors.

(d) The covalent bonding energy of C - C is 370 kJ/mole. What wavelength of light will

breakC - C bond. What is its colour?

3. (a) Define density of packing for a crystal system. Calculate packing factor for NaCIcrystal if radiiofCI and Na ions are 0.187 and 0.097 urn, respectively. Is there anydeviation of the values of density of packing for NaCl and an ideal FCC crystal? If so

,vhy?(b) Calculate number of atoms per unit cell in various space lattices of cubic crystal

system. Provide necessary diagrams.(c) What are the lattice parameters for hexagonal crystal system? Draw a typical unit cellof hexagonal crystal. Give some examples of hexagonal crystal. Show that Cia ratio for

the ideal hexagonal crystal structure is 1.633.

(d) Sketch (110) plane of a - Fe crystal which is body centered cubic. Atomic radius of

a - Fe is 0.1243 urn. What is the area of this plane? Calculate number of atoms/mm2 of

(110) plane of this crystal.

4. (a) Define electric flux and state Gauss's law in electrostatics .

. .(b) Using Gauss's law obtain expressions for electric field E at any particular point at adistance r from the centre of a charged non-conducting sphree of radius' R. In case of

Contd P/2

(7)

(9)

(5)

(11)

(7)

. (12)

(5)

(7)

/

(9)

(19)

=2=

£-i- 93W5S'o\~

fRY 117(1PE).Contd ••• Q. No. 4(b)

(i) Outside (r> R) (ii) Inside (r < R), and (iii) Surface (r = R). Also draw schematically

E(r) as a function of distance.(c) What is surface charge density? A small sphere whose mass is 1.0 x 10-

3g carries a

charge q of 2 x 10-8 C. It hangs from a silk thread which makes an angle 300 with a large

charged conducting sheet. Calculate surface charge density for the sheet.

SECTION-BThere are FOUR questions in this Section. Answer any THREE.

5. (a) State and explain Faraday's law of electromagnetic induction and lenz's law for thedirection of the induced emf. Does Kirchoffs loop rule lose its validity in case of

electromagnetic induction? In what condition it becomes valid? (10)(b) Show that when a closed conducting loop is moved across a magnetic field, and

induced current is produced in the loop which produces an internal energy at the same

rate as the mechanical work is done on the loop. (10)(c) Write down the four Maxwell's equations of electromagnetism. Explain the physical

significance of 2nd equation (Gauss's law of magnetism) (8)(d) Give some examples of ferromagnetic materials. Draw a typical hysteresis loop for a

ferromagnetic material. (7)

6. (a) What is a dielectric material? Show that when the space between the plates of aparallel. plate capacitor is filled with a material of dielectric constant k, Gauss's law of

electrostatics becomes Eo1kE.ds = q. . (15)(b) State Ampere's law. A solenoid is 1.0 m long and 3.0 cm in mean diameter. It has 5layers of windings of 850 turns each and carries current of 5.0 amp. What is B at the

centre of the solenoid. (8)(c) A circuit contains a self inductor of inductance L and a resistor of resistance R placed

in series with a cell of emf E. (15)(i) Obtain expression for the growth of current in the circuit(ii) Draw schematically CUtTent vs time in this case.

(iii) What is time constant of this circuit?

7. (a) What is photoelectric effect? (6)(b) Discuss ~e important results of photoelectric effect and hence establish the Einstein's

photoelectric equation. (21)(c) What potential difference must be applied to stop the fastest photoelectrons emittedby a nickel surface under the action of ultraviolet light of wavelength 2000 A? The work

function of nickel is 5.00 ev. (8)

8. (a) Derive Lorenty transformation equations. Show that the Galilean transformation is a

special case of the Lorentz transformation. (19)(b) What is length contraction and time dilation in case of relativity? (8)(c) How fast must be a spacecraft travel relative to the earth for each' day on the

spacecraft to correspond to 2 days on the earth? (8)

----------------------------------------------------

L-l/T-l/lPE Date: 17/11/2012BANGLADE1SH UNIVERSITY OF ENGINEERING AND TECHNOLOGY, DHAKA

L-1ff-1 B. Sc. Engineering Examinations 2011-2012

Sub :MA TH 191 (Differential and Integral Calculus)

Full Marks: 280 .Time: 3 HoursThe figures in the margin indicate full marks.

Symbols used have their usual meaning.

USE SEPARATE SCRIPTS FOR EACH SECTION

SECTION -AThere are FOUR questions in this section. Answer any THREE.

1. (a) A function f(x) is defined as follows:

x, O~x<l

f(x) == 2-x, 1~x~2

1 2 x>2x--x2 '

(20%)

(13)

(15)

Discuss the continuity and differentiability off(x) at x = 2. Also sketch the graph off(x)~

(b) Evaluate: lim (sin x)tan x .1tX~-2

(c) ShO\¥that (1- x.2~ 0+2 - (2n + l)xy n+l + (a2_ n2 ~ n = 0 when x = sinG-sin -I y ). (13)

2. (a) State and prove Rolle's theorem. Verify Rolle's theorem for f(x) ==e-x sinx in the

interval (0, 1t). (20%)(b) Expand cos2x in power of (x - ;) with Lagrange's form of remainder after n-terms.(13)

(c) A fuel charge for mnning a train are proportional to the square of the speed generatedin miles per hour and cost TK. 48 per hour at 16 miles per hour. What is the most

economical speed, if the fixed charges, i.e. salaries etc. amount to TK. 300 per hour. (13)

3. (a) If u = X3Yf(~) + x2y2 g (~) +x4 h (~). then show that (15)

2 02u . 02u 2 a2ux -+2xy--+y -==12u.

&.2 &.Oy fJy2

(b) Find the height of the tent so that a conical.tent with given volume can be made by

using minimum amount of canvas.2 2 2- - - x2 y2 .

(c) Show that the. condition that the curves x 3 + y 3 ==c 3 and 2 +2 ==1 may toucha b

is a + b == c.

Contd P/2

(16%)

.,

i,I

=2=MATH 191

2 22 2 2 .4. (a) For the curve x y = a (x - a ) find the radIUs of curvature at (a, 0).

(b) Find the asymptotes of the curve i .

l- 5xy2 + Sx2y - 4x3 - 4l + 12xy - si + 3y - 3x + 2 = O.

(c) Find the envelope of the straight lines x. + r = 1,'where a, b are vari~ble parameters,. . a b ...

connected by the relation a + b = c, c being a non-zero constant.

SECTION-BThere are FOUR questions in this section. Answer any THREE.

5. (a) Workout the following:2

(a) f x + x + I dx~x2 + 2x + 3

(b) f ~ dx

cos 2 x

(c) f ~l + sec x dx

6. (a) Evaluate the following:

;7i . 2(i) J . sm x dx

o smx + cosx .

1

(ii) fx6 ~1- x2 dxo

~ '( )n-l(b) If In = !xn sinxdx(n>O) then prove that In +n(n-I)In_2 =n ; .

1 '2 3 S 31t47. (a) Show that f'(-) f'( -) r(-) ...f'(-)= -.'

9 9 9 9 16(b) Find the perimeter of the cardioid r = a (1 - cose) and show that the arc length of the

upper half of the curve is bisected by e = 2 1t •. 3 .

. 2 2B. (a) Find the area bounded by y = 8x and x = By.

(b) Find the volume of the solid produced by revolution of the curve y2 (a - x) = ix

about its asymptote.

(15)

(16%)

(15)

(15)

(15)

(16%)

(13%)

. (13)

(20)

(20)

(26%)

(23)

(23%)

(15)

L-IIT-l/lPE Date: 23/12/2012

BANGLADESH UNIVERSITY OF ENGINEERING AND TECHNOLOGY~ DHAKAL-l/T-l B. Sc. EngineeringExaminations 2011-2012

Sub :CHEM 119 (Chemistry -I)

Full Marks: 210 . Time: 3 Hours

The figures in the margin indicate full marks.USE SEPARATE SCRIPTS FOR EACH SECTION

SECTION-AThere are FOUR questions in this Section. Answer any THREE.

1. (a) How does heat evolve or absorb during dissolution of solute in.a solvent? (10)

(b) What are the factors affecting the solubility of gas in liquids? State Henry's law giving

mathematical relation. (8)(c) What types of .liquid .pairs are steam distilled? How steam distillation is useful in

evaluating the molar masses of compounds? (7)

(d) An aqueous solution containing 10.00 g ofKOH and 90.0 g of water has a density of

1.12 kgldm3• Find (i) w/v% ofKOH~ (ii) Molality~ (iii) Molarity and (iv) Mole fraction of

roa O~2. (a) What do you mean by colligative properties? With the help of a diagram~ prove that.

the elevation of boiling point ofa solvent~ produced by dissolving anon-volatile and non-

electrolytic substance is proportional to the corresponding lowering of vapour pressure

and molality of solute in the solvent.

(b) Derive a mathematical relation between osmotic pressure and vapour-pressure of a

dilute solution of a solid in a liquid. (10) .

(c)A 3.75 g sample ofa non volatile and non-electrolytic substance was dissolved in 95 g

of acetone. The boiling point of the solution was 56.50°C. The boiling point of pure

acetone is 55.95°C at 1 atm, and the boiling point constant for acetone is 1.71 °C/m.

Calculate the molar mass of the solute. (10)

3. (a) What do you mean by the term internal energy of a system? How is it related to the

enthalpy of the system?

(b) Derive Kirchoffs equations of heat of reaction at variable temperature.

(c)Uiscuss the working principle ofH2 -02 fuel cell.

(d) What is cathodic protection of corrosion?

4. (a) Derive the expression for thermodynamic equilibrium constant.

(b) What type of information you can get from equilibrium constant?

(c) In the following gaseous reaction

(4+4)

(10)

(12)

(5)

(12)

(6)

(8)

Contd P12

f

)

=2'=,

CHEM 119(1PE)Contd ••• Q. No. 4(c)

some helium gas (He) is added in the reaction mixture. What type of equilibrium shift do

you expect?

(d) A mixture of 0.750 mol of H2 and 0.750 mol of hwas placed ina 1.00 L stainless-

steel flask at 430°C. The equilibrium constant Kc for the reaction

H2(g) + h(g)'" • 2 HI(g)

is 54.3 at this temperature. CalCulate the concentrations ofH2, 12 and HI at equilibrium.

SECTION-BThere are FOUR questions in this Section. Answer any THREE.

(9)

5. (a) An electron is in a 3d orbital. Mention the possible quantum numbers for the electron? (5)

(b,) Derive Schrodinger wave equation and solve the equation for a, particle in an one-

dimensional box. (10+12=22)

(c) A particle is known to be in the' ground state of infinite square well of length L.,

Calculate the probability that this particle will be found in the middle half of the well,

that is between x =: L/4 and 3L/4.

6.' (a) What are transition metals? Why do they show variable oxidation states?

(b) What are the important features of the valence bond theory? Apply the valence bond

theory for the formation of the following complexes:

(i) [Cu(NH3)4]2+ (ii) [Fe(CN)6]4- and (iii) [Zn(NH3)4]2+.

(c) Mention the assumptions of the crystal field theory. What are the advantages of the1

~crystal fi~d theory over the valence bond theory?

(d) RatiOnalize the following:

~ (i) Aqueous Te+ is colored but Ti4+ is not. (ii) Mn<t is colored even though Mn(vii)

does not have d-electrons.

7. (a) Explain why: l, ~ (i) PCIs exists but NQ";'s does not. '~ ' t

,~ (ii) p-Ni;ophenol boils at higher temperature than o-Nitrophenol.

(iii) SF6 attains octahedral structure with all F-S-F bond angles of 90°

(iv) 02 is paramagnetic but 0 ~- is diamagnetic.

(b) Draw a glass electrode and explain its' use for the determination of pH of a test

solution.

(c) What is the origin of electrode potential?

eontd P/3

1

L

(8)

(5)

(12) "

(12)

(6)

(16)

(13)

(6)

: .-

(12)

=3=

8. (a) What is the order of a reacti~:m?How can you determine the order of a reaction by

graphical method?(b) What is a parallel reaction? Derive the expressions for the rate constants of a parallel

reactions. (12)

CHEM 119(1PEl

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